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- MTH322: Real Analysis II (Spring 2023)
- to applications: ** - Show that $\int_a^\infty \dfrac{1+e^{-x}}{x} dx$ is divergent. - If $f$ is boun... on $[a,\infty)$, then prove that $\int_a^{\infty}\dfrac{f(x)}{x^2}dx$ is convergent. - Prove that $\int_0^1 \dfrac{\sin x}{x} dx$ is proper integral. - For which value of $m$, the integral $\int_0^1 \dfrac{1}{x^{m+100}}$ is convergent. - Find the point
- MTH321: Real Analysis I (Spring 2023)
- related to applications**\\ - Let $E=\left\{1,\dfrac{1}{2},\dfrac{1}{3},... \right\} \subseteq \mathbb{R}$. Then write the set of upper and lower bounds of $... hat $0$ is even number. - Prove that $\left\{1+\dfrac{1}{n} \right\}$ is monotone sequence. - Write t
- MTH480: Introductory Quantum Mechanics
- city at time 5sec. - Find acceleration at $t=\dfrac{\pi }{6}$ sec. - What is the kinetic energy a